Nonlinear Hall effect in Rashba systems with hexagonal warping

Abstract

Rashba spin-orbit coupled systems are an important class of materials noted for diverse fundamental and applied phenomena. Recently, the emergence of non-linear Hall effect under conditions of time-reversal symmetry has been discovered in materials with broken inversion symmetry. In this work, we study the second- and third-order Hall response in Rashba systems with hexagonal warping. Starting with a low-energy model, we obtain the analytic expressions and discover the unique dipole profile in Rashba systems with hexagonal warping. Furthermore, we extend the analysis using a realistic tight-binding model. Next, we predict the existence of a third-order Hall effect in these systems, and calculate the Berry connection polarizability tensor analytically. We also show how the model parameters affect the third-order conductivity. Our predictions can help in the experimental realization of Berry curvature multipole physics in Rashba materials with hexagonal warping, and provide a new platform for engineering the non-linear Hall effects.

Published version

References in corpus (4)

• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Tight-binding theory of spin-orbit coupling in graphynes

Cited by in corpus (5)

• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Polarization and third-order Hall effect in III-V semiconductor heterojunctions
• Electric field induced second-order anomalous Hall transport in unconventional Rashba systems
• Chirality-tunable non-linear Hall effect
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions